Tom Eckhart received his bank statement and wanted to verify his pay increase. His previous month's pay was $3,076.60. His account activity showed a previous balance of $597.90, processed checks of $2,696.90, ATM withdrawals of $300, and a service charge of $5.50. If Tom's new balance is $818.30, what increase in pay was direct deposited?​

The equation will be written as (42/2) = 21.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the quotient of a number, 2, and 21 is 42. The equation of the quotient will be written as,

42 / 2 = 21

Here the value 42 when divided by 2 will give 21.

Therefore, the equation will be written as (42/2) = 21.

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using exponents, On simplifying the equation, we get =4m+8.

The PEMDAS order of operations must be followed when you want to simplify a mathematical equation without using parenthesis (Parentheses, Exponents, Multiplication, Division, Addition, Subtraction). There are no parenthesis in the expression, so you may start looking for exponents. If it does, first make that simpler.

Work simplification is to develop better work processes that boost output while cutting waste and costs.

Simplifying an expression is the same as solving a mathematical issue. When you simplify an equation, you essentially try to write it as simply as you can. There shouldn't be any more multiplication, dividing, adding, or deleting to be done when the process is finished.

Given equation,

m-(8-3m)

=m-8+3m

=4m+8

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Answer: 5sqrt2, 10sqrt2/2

Step-by-step explanation:

The isosceles triangle, or 45-45-90 rule states that the hypotenuse is x × square root of 2.

Divide the hypotenuse, 10, by sqrt 2 to get 5sqrt2

However , if you're looking to keep it in fraction form, you will need to rationalize the denominator. Multiply the numerator and denominator to get the fraction, 10sqrt2/2

Answer:

14... since all of it is equal

Step-by-step explanation:

Answer:

x^22/ 64y^16

Step-by-step explanation:

Answer: 250 years

Step-by-step explanation:

12/3=4

4 x $1 = $4 per year

$1000/4=250

250 years

Answer:15x3 /=divide 5 = 9

Step-by-step explanation:

because if you do 15x3 it is 45 then you divide it by 5 and get 9 as your answer!

Answer:

\(\frac{1}{6}\)

Step-by-step explanation:

You need to add the amount Shawna & Ryan ate together, then subtract it from 1 to find the amount of pizza that was left for Dominic to eat.

\(\frac{1}{3}\) + \(\frac{1}{2}\) = ?

Make all the denominators the same to add fractions.

\(\frac{1}{3}\)  is \(\frac{2}{6}\)

\(\frac{1}{2}\)  is \(\frac{3}{6}\)

\(\frac{2}{6}\) +  \(\frac{3}{6}\) = \(\frac{5}{6}\)

1 -  \(\frac{5}{6}\) = \(\frac{1}{6}\)

The Tarasoff case set a legal precedent for psychologists to break confidentiality if

a. Their client makes a credible, serious threat about harming someone.

The Tarasoff case, also known as Tarasoff v. Regents of the University of California, is a landmark legal case that established the duty of psychologists and mental health professionals to break confidentiality in certain circumstances. In this case, the court ruled that if a therapist determines or reasonably believes that their client poses a serious and credible threat of violence to another person, they have a duty to protect the potential victim by warning the intended victim, notifying law enforcement, or taking other appropriate actions.

The Tarasoff case recognizes the importance of balancing the duty to maintain client confidentiality with the duty to protect potential victims from harm. It emphasizes the responsibility of mental health professionals to assess and respond to situations where there is a clear and imminent risk to someone's safety.

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Answer:

53 Pages a Day

Step-by-step explanation:

25% as a decimal is .25

212*.25=53 pages per day

½×½ which will be ¼

Step-by-step explanation:

because

Probability that the starting player wins:

\(P_{n} =\)  m /n + m + n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)

Let us say that the probability that the first player wins is \(P_{n}\). Then this can be happen in two ways:

If the first player wins in the first move which has a probability: m /n + m

If the first player wins after the second move which has a probability :

n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)

Therefore by the law of probability,

\(P_{n} =\)  m /n + m + n(n-1) /(n + m)(n+m -1) × \(P_{n-2}\)

This will allow us to find out the probability of first player winning the game recursively.

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The two right inverse functions of f are g(x)=x−1 and h(x)=−x−1. Both functions map from [1,∞) to R, and they both satisfy f(g(x))=f(h(x))=x for all x∈[1,∞).

A right inverse function of f is a function g such that f(g(x))=x for all x in the domain of f. In this case, the domain of f is R, and the range of f is [1,∞).

We can see that g(x)=x−1 is a right inverse function of f because f(g(x))=f(x−1)=x−1+1=x for all x∈[1,∞). Similarly, h(x)=−x−1 is also a right inverse function of f because f(h(x))=f(−x−1)=x−1+1=x for all x∈[1,∞).

The fact that f has two different right inverse functions shows that it is not injective. An injective function has a unique right inverse function. However, a surjective function always has at least one right inverse function.

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Answer:

s = 22t or \(\frac{t}{s} = \frac{1}{22}\), when s is students and t is teachers.

Step-by-step explanation:

I. Given t = teacher, s = student

When 1 teacher per 22 students so...

        s = 22t

If there're 10 teachers

        s = 22(10)

           = 220 or \(\frac{t}{s} = \frac{1}{22}\)

Hope that help :)

Answer:

The area of the circle is 314 inches

Step-by-step explanation:

Area if a circle = πr²

r = radius

r= d/2

r=20 /2

r=10 inches

Area =3.14×10²

= 3.14×100

=314 inches

Answer:

314 in. cubed

Step-by-step explanation:

The formula to find the area of a circle is:

A= πr²

Pi is 3.14 so substitute that in

A= 3.14(r)²

The radius is 10 because the radius is half of the diameter.  Half of 20 is 10.  So substitute that in the radius symbol.

A= 3.14(10)²

Square 10, which is 10 times 10.  10 times 10 equals 100.

A= 3.14(100)

100 times 3.14 is 314 because 100 has two zeroes which means you move the decimal point in 3.14 two places to the right.  It gets you 314.0 which is just 314.

A= 314

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Answer:

24 sq. in

Step-by-step explanation:

your formula is A=h(b/2)

h=8

b=2

A=?

A=8(6/2)

A=8(3)

A=24

Answer:

c

Step-by-step explanation:

Answer:

Altogether, Greg spent $22.71.

Step-by-step explanation:

1) 5kg × $2.75 = $13.75

Purple beads: Spent $13.75

2) 1/2 kg = 1.5kg

1.5kg × $1.84 = $2.76

Orange beads: Spent $2.76

3) 2kg × $3.10 = $6.20

White beads: Spent $6.20

4) Add them all together.

$13.75 + $2.76 + $6.20 = $22.71

Hope this helps. :)

Answer:

44

Step-by-step explanation:

Answer:

22.5 more calories are burned

Hiking:

y=255

kayak

y=202.5

According to the given equation :

The given matrix can be represented as:⎡x  3y⎤⎣x  -3y⎦

So, x-determinant = 24 , y-determinant = 0 and system determinant = 4.

Given the system of equations as:

x + 3y = 5

x - 3y = -1

The given matrix can be represented as:

⎡x  3y⎤⎣x  -3y⎦

We need to find the x-determinant, y-determinant and system determinant.

Let us represent each matrix by A11, A12, A21, A22 and so on.

x-determinant: It is the determinant of matrix obtained by replacing the first column by the column on the right-hand side of the given matrix.

x-determinant = |5 -1| |-1 5|

= 5*5 - (-1)*(-1) = 25 - 1 = 24

y-determinant: It is the determinant of matrix obtained by replacing the second column by the column on the right-hand side of the given matrix.

y-determinant = |1 -1| |-1 1|

= 1*1 - (-1)*(-1) = 0

system determinant: It is the determinant of matrix obtained by replacing both the columns by the columns on the right-hand side of the given matrix.

system determinant = |5 -1| |1 -1|

= 5 - 1 = 4

Therefore, the answer to the question is:

x-determinant = 24

y-determinant = 0

system determinant = 4

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Answer:

6/5

Step-by-step explanation:

I just used a calculator.

Answer:

96/125

Step-by-step explanation:

Answer:

\( \sqrt{x} \)

Step-by-step explanation:

the square root of what ever the area is. Area is length times width, but if all sides are the same then you just have to find the square root.

the researcher can conclude that private hospitals pay more than government-owned hospitals based on the sample data.

To test whether private hospitals pay more than government-owned hospitals, we can use a two-sample t-test with equal variances.

The null hypothesis is that there is no difference in mean salary between the two groups:

H0: μprivate = μgovernment

The alternative hypothesis is that private hospitals pay more than government-owned hospitals:

Ha: μprivate > μgovernment

We can use a significance level of 0.01, which corresponds to a critical value of t = 2.364 (with degrees of freedom = 898).

First, we need to calculate the pooled standard deviation:

Sp = sqrt(((n private - 1)s^2private + (n government - 1)s^2government) / (n private + n government - 2))

where n private and n government are the sample sizes, s^2private and s^2government are the sample variances, and s^2pooled is the pooled variance.

Plugging in the values, we get:

Sp = sqrt(((100-1) * 186^2 + (800-1) * 176^2) / (100 + 800 - 2)) = 176.43

Next, we calculate the test statistic:

t = (x(bar)private - x(bar)government) / (Sp * sqrt(1/n private + 1/n government))

where x(bar)private and x(bar)government are the sample means.

Plugging in the values, we get:

t = (26,800 - 25,400) / (176.43 * sqrt(1/100 + 1/800)) = 3.14

Since our test statistic (3.14) is greater than the critical value (2.364), we reject the null hypothesis and conclude that private hospitals pay more than government-owned hospitals at a significance level of 0.01.

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Answer:

The operation is commutative

Step-by-step explanation:

Operations

The * operation is defined on the set of real numbers R by

\(a * b=a^3+b^3-3ab\)

For the operation to be commutative a*b should be equal to b*a.

Computing b*a:

\(b * a=b^3+a^3-3ba\)

Rearranging:

\(b * a=a^3+b^3-3ab\)

It's apparent that a*b=b*a, thus the operation is commutative

The total time she spends playing soccer in a year is 104 hours, which is calculated using the concept of fraction and arithmetic operations.

What is a fraction?

Any numerical number which does not represent the entire quantity is called a fraction. It depicts a part or portion of something. It is generally written in the form of numerator by denominator.

Calculation of the total time Yolanda spends playing soccer

Given that Yolanda plays soccer for 8 ⅔ hours in a month

Firstly, convert the hours in mixed fraction to improper fraction i.e. 8 ⅔ = (8 × 3 + 2) / 3

= 26 / 3

Now, we need to calculate the no. of hours she played in a year, which is done by multiplying the obtained improper fraction with 12

i.e. (26 / 3) × 12

= 104 hours

Hence, Yolanda spends 104 hours a year playing soccer.

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